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Finding the Fourth Proportional to 2,121.85, 3,182.43 and 660.66

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Solution

The fourth proportional to 2,121.85, 3,182.43 and 660.66 is: 990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.85 : 3,182.43 = 660.66 : x
  2. Step 2: Convert to fraction form
    2,121.85/3,182.43 = 660.66/x
  3. Step 3: Cross multiply
    2,121.85x = 3,182.43 × 660.66
  4. Step 4: Simplify right side
    2,121.85x = 2,102,490.10
  5. Step 5: Solve for x
    x = 2,102,490.10/2,121.85
  6. Step 6: Final answer
    x = 990.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.